The classical r-matrix method for nonlinear sigma-model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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18 pages, LaTeX

Scientific paper

The canonical Poisson structure of nonlinear sigma-model is presented as a
Lie-Poisson r-matrix bracket on coadjoint orbits. It is shown that the Poisson
structure of this model is determined by some `hidden singularities' of the Lax
matrix.

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